{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1e971834",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.io\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.tri import Triangulation\n",
    "\n",
    "# Load MATLAB file\n",
    "mat_data = scipy.io.loadmat('cylinder_nektar_t0_vorticity.mat')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "86561956",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'__header__': b'MATLAB 5.0 MAT-file, Platform: MACI64, Created on: Fri Oct 20 01:01:08 2017',\n",
       " '__version__': '1.0',\n",
       " '__globals__': [],\n",
       " 'modes': array([[10]], dtype=uint8),\n",
       " 'nel': array([[412]], dtype=uint16),\n",
       " 'w': array([[ 1.01820986e+00,  1.18381031e+00,  1.58647128e+00, ...,\n",
       "         -1.88201678e-05, -1.86635701e-05, -1.86176834e-05]]),\n",
       " 'x': array([[ 0.191328  ,  0.18532631,  0.17161612, ..., -6.09884175,\n",
       "         -6.09844286, -6.09826678]]),\n",
       " 'y': array([[-0.461945  , -0.46438536, -0.46962489, ...,  0.02748659,\n",
       "          0.02982698,  0.03086004]])}"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3f54cf76",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(49852,)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Access variables in the MATLAB file\n",
    "x = mat_data['x'].reshape(-1)\n",
    "y = mat_data['y'].reshape(-1)\n",
    "w = mat_data['w'].reshape(-1)\n",
    "\n",
    "w.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "30286457",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a triangulation of the (x, y) points\n",
    "triangulation = Triangulation(x, y)\n",
    "plt.figure(figsize=(16, 9))\n",
    "# Plot the contour plot\n",
    "plt.tricontourf(triangulation, w, levels=998, cmap='seismic')\n",
    "plt.xlabel('X-axis')\n",
    "plt.ylabel('Y-axis')\n",
    "plt.colorbar(label='Z-axis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f5b268f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f161b707af0>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/MmtLT2BtaWBQTumiOTHf19ikPN/e/uWnApNr/fWW8Zg8pNDh0qQm1X8JJ1cSC4qVLtvatLoa+sKo1Xr6dG6DF26daPiZehtWdunXNfHe+vCjJxMHE2knX7GjHADwu1W7Q9uiL2w3aZkHZkUPd//bmn0AAheSF9buT2qfbnG/ySkP3Nhc3a9L2xbb3Nh5G0tNfSNeWV8Wen5OZ9Kx6toG/H7VHltGfbtJqwvoWVH55j+aMQwZOlEyvAZpR5PLmj2Jz4d9+lxzR087gxpyLPFKH/56eBt69DD1dfv0F7yO5/O/jhwAde/irQCAMfe9hfn/2JxQ+7xbJdO85DZ6SyiaqXU7HfwfXbYjogx3vbSpxXsWvroZDy7dhmU+76NpdQE93KIvjcbVY3vpvjZrVA8MLGwHAPjC+frvSYWZSZieW9Nci22TxK2lmUyW8IyHVFtFdh6tiplqVl3bEHcE5sHKc1i+veVMkV7mdPBLlBVzx9332la8vK7M9oFZh6MGtC3R6dv458bAHDUbfD7Fb6tuQ79+fL+Yrx2sPBda1i0nwUWg06FtThIBPd7rYW/I1AL6o8t24PEVu0wfK6i0orpFzTzc4VPx+xAmLVoOANj90GzPtrnnZWdEZCi5sclFj5kQHOu9f9ayUo6fqcW3pwxCQ2MTsmz4LS2JMxtquL9+tA8/8fEi6e6JVGmSyO9JJDIFz01Dv7vn55n+TLxa4f99VBp6fEabAzyVYA4g7rzeZuJzMqNjU2EUdA8kkGt/9HQNth85jdM19balm9qpaP6SUNaRkaWbD6No/hIcj5OxdayqFs+s3oPBC9/AK+vKDN9rN7/Py9Nqa+jDe3RI+L12zLYYS+miOYZtykO7J17uoHilD68tH6uyZs6OTw8bpzueOpf4ABA3ZFEETX54hWEGD4CIGTGjeaXJpTyB78H3nlsPQH9FrHDBlFgAuPOlTbjmwj4t3tPQ2IT6RoU2ce5A91ZUo7BDrmG2VWtmSQ1dRGaKyA4R2SUi863Yp512PzQbS2+fbPieod2bF9II9ox77a7/bF0Ddh6tMp32aMVETPGaSF42UVMz04HsZnrZF27w/q6KlD5vlB+u5/Cplndvgxe+gRE/fTPuZ6c9uhKjfrYMB7U7wFgLhvy9JNBH9fK6sogLit+lfJkTkUwATwCYDqAMwMci8ppSyrVL2CTSHjttWDfsPHomoracnZmhO41tOuVlB4Jzg85Ao0OV59ArbPKiSxYtR2USa1haMSPiM6uNf0ThHb3RTp2tR21jc/ArP1OLxiaFs3UN6JCXjbqGphbTHadTstMl7E5hKcNkJXIndCbJpfby87JwuqYBfTqbmzDr4l8sj3mXc+pcPTq2yY67j0mLlmPDvdNj9tPc/fInyMnM0M14UUoZzt3kZZLqXB4icjGA+5RSM7TnCwBAKfWLWJ8pLi5WJSUlSR8zXprblKGFeG9nue5r9101Et+cNMBwv09//UJsOFCJJ1fujni9T+c2KDtp75qP8Zpc4rl18gAcrDyHlTvKcdaGGuHFA7ti3b6TKY1ctVJedgYuG94N+0+cxZaDpzF7dMuFSoxWCYpuzunWIQ8TBnTBd7XmBD17fzEbAxYs1X3tya+NM/ysGZMGd8W/95xAY5PCuH6dcOPE/nh61R5sP1KFH80Yhu9PGxx6b/A7s/cXsyEiqKqpt2UY/N0zh+FPH5Qm1CRjZPboHthTXo2iru2wt6IaO7Sads+OeWiTkxlKSEinqcMKkZuVgWVbA01IvTu1QW5WBoZ274A3tXTHy4Z3a5EkoXdtiBVWRYDvTxuMUb3NT4Md+LysU0oVx3rdioao3gDCc/DKAEzQKchcAHMBoF+/2NklVrh6bC/dgD6qdz7G9u0U83PfnToIT67cjaHdOyAnK6NFQL9xYn8seiN+Z5GVvnxhH7xkonni9wY14+9MGYSn3tsd8/VEfOSyGe9q6pvw2dEzoTun7YerIu7AEqmuBN9dea4e5VW1oXRVo2PGYlUwByJX/Vm/vxJbDp0OdRA/smxHREAPGrBgKfp3bYt9xxOfKG1AQSCoJuLhN3ckvF8jSzcHAmT07KGJZD/Z5cipmojyBJt1wseuHIyq0On17ygVCNzRFYnge+3smLUioOtVf1qcpVLqaQBPA4EaugXHjSl85/E6sML9eOZw/HjmcABAUUG70Gd/ungL/u+jfcjLyghtO3DiLCY/vCJ0jGH3vIHahiZs+unn8dzafSl98aPL/MiXxwII3I6Ovf+t0HvM1uS/qwX0h68dg+uK++KJFbvwyLIdWH/vdHRpl6O7v+9NHYS7tb8JEP/uKJ5Eyl26aA6UUqFa8GcPzkJWhuCzY2dQVVOPa578CN+eMhALZlmbfvbcmn1Y+OqWuJlQo+5ruVpTWiT4qzETzAFgxV1TAaT+bztlaCH+cvP40PPNZadw1ePvG37mkkFd8ddbJmBvxRnkZmWGflN2eu9HU1HQPje0CPgz3yjGFSO7AwA27D+JL/7vhwDMxQ63sCKglwHoG/a8D4DUVx52IaN2t1hTkE4dVoiVO/Sbf8xKJgc9XMe22aFbciBw63fzpAGGmQWbyioN99mpbTYqz9Zj9d3TEv4xDu/RIea87k9+bRyAwN/6qRsvxLAeHUIjGYMZPk7/0KxMY/3yhX3ww+lDcYmWc2943Bj38W6ZMjb6J1B5Lv4arJkZgswMweBu5rO3gvp2aYMDJxJvCs3JyoiodQeDOQBkZXg7k9uK0n8MYIiIDBCRHADXA3jNgv0mzerujkS6GYKr9UTfgiXUwTO4a0Ll0BuibVb0RSk8mOutOFRaEbu2N6x7B8we3TPw2UzByJ75AIB375wSes+8y4e0+JxRytn5/TqFHs8c1QMDCoybP+zwVpw0PCv169I24cFGelNQvP7JIddMGWtmyt0gKzJ/5k4eaOr9PQzGcozqnY975ozA+nunp1osR6RcQ1dKNYjIbQCWAcgE8Eel1NaUS5ZKmWzar9EPL3jFb2xSEW1n8TomV989DT065uHk2TrLZ4zLzhSM6JmPT8pOJfT+e68ciZ+9FvlPd9BggNDi2yYhOzMDN4zvh54d2+DV71+CI6dq0L9rcxDWGwhVos0Jc9XYXvjXJvfczAX/3VZ/lnwan9Hdh56zJtpT9SoWelkc4e6ZMyK02tWeh2ZDBBEduj//f6MSPn480emPkwYVxP1MqcnmIT1XjukVmh8oESISs6NcRPAfJi8QbmLJ/YVSaqlSaqhSapBS6kEr9plieazdXwKXiOCQ5ujb8bN1xilhfbu0RXZmBrp1yEN+XvzavBkLZo3Aa7ddmvD7b7qkqMW2Wy7Vzwj69VfGIi87E5kZEuqxz83KjAjmQGStf8rQyGlmjRaV9iqzKXz7jlcbZuHEE2/OlavG9kJR18BsihkZAhEJtZkDwOBu7WN8MnV6k95Fu7B/p5SP07ldjunP+DRrsfWOFE2G0XcgGLjqowJ6MrehVunVyfw0AdEZEsNijKj9XIJzgGcYZJycSiJH3u2OmLxIpRLMgfijmEWAlT+aFrFtQEE7FLTPRcWZWsenk7WiGZGa+fKvafVXNJEK/ze12m2nqDZzJ+eBCZZ7ZM98PKplysQT3WbdIUZ7d6LT+IZX0qLvnI5Xt+w0697B/EXITbYcTHyFJyBw95dKbTHe9yvWBSM49YUdyyua8bqJibXskJ/nrzqtv84myOLvaDC7JDcrdhv3t6cMwrenDGqx3Yph9MkK/laXzjOe5iBcZlR0mThQv8M20Vat8DuUrlG3xhVnavHKdy9Bl3Y5WLWzHE+s2JXQbbpdnLgNT7WGHk+sP2cwVz+8ht+7UxvDPhM7TB4Sv53djERz6rMzM7Bw9ghMG97N0uM7zZcB3erJnH44fSja52bjS+N6m/6sFZ0+yeptsj0XaNnuGaujNtFFP8LbN/V+PBf27wwg8EPUa8NvDZIN6YnMQhmrSSbYRNgYdsH91w8uxbj/ejvJ0iRnQtTyj7HcMX0ofvX2zrjvW3HX1Jj59M98oxhtc5u/z7d+zrudn7H4ssnFam1zsjDviiEJz+Xslg4Xo/SsWKKnh401702i85OPDhviPKZPJwDANeNazrZH5r2xxbi5IkOAdjn6dbbghTtiDVnriqYr2DkbLjPBvO/bddJfzbpiZHdckkDmjZf5MqB7ZYpSuyWzulF0yl2swJ1oimX3/Fz8e8HleOiLo0Pt8w984TwAwB9uijklhSNcch1O2LwXNhq+vvX+mTH7OoI19PA7rViD46wwrl8n3e9M5dnYg4+ig/glg7pi3uVDUh5g52e+DOgU0LGt+TTIK8f0jHieapO2iKBHxzzcMKF5/p52uVkoXTQHl4/obvDJVkJgy5WkdNEcwxHAejV0O69oF/TrrNtM92JJ7KUY75g+NOL5326diB9OH6o76GfbAzOx9f4ZqRfU43zahk7JKuyQG/Hcr9OMtnahGnp4k0uMf+p2OZmoTnFEZ2aG6E49ncz0zno1/XgLY3TwWTZLLL48y9be5NIjP890PnSQVX+7LffPsHyAl93suHb96rqxuHRwAcbHWsVI2Z/poieYzZRIG7oVF3WRwDQHZicO2/nzWQl3wAfdOnkAfr96L64Y0R3d8nPxtzX78Zvrzze1D6/yZUD3CitTtsKnxl06b3LcEaqxPLdmnyXl8eISYXZcf0QS70BOp1DaYlP4Atb65Ux2AYyI44ng8a+Ow9gHIuediXetSGYhk5/MHoFpw7rh4kGBlNvvThmEvl1adsj6kS/b0J1egzLRn29x/8RSthIxf1bzFLdd2uWgT+fkvsD3zBlpVZE85x/rD9qyX8PORnEmK+ryEYEU0vN6NWchJXvd6dkxfjbV58/rodunY0dHrIjgksEFgTlbRFpNMAd8WkP3yp1+8EflJl+b0A/5bbJQW99ky4pHbranwp4l4tzYDTFzVE9se2BmRNtzsk0/Rk0iwcFK0YPKgtx49+JlvgzobnTV2F545NoxKK+qdXWNISszA1+8IHae+Oq7p8V8jfQZjTAGnEuXjO5ITObC861JRVi+/VjM12+5dAAeeP1TdG0fCOhb7p+BspNnMfOx1QCA23RWXUrE8jun4L/f3ml66ly/82mTSxqOYfIgN4zvh7zsTFcH80T07dLW8+eQTgIxzsBw6d3k4zdcgC9dEH9k9D1zRuI3118AAPjjN1uOK7j50gEoXTQHbbUBTu1zszC8R37o9bKTyY2kHljYHk/cMM5wScnWyJcBPR1tLmbb6fvrjJKzyozzmM9tDfvqyskM8kq38PbsK8f0SihYZmYIzu/bCZ89OAuXDTf/PUx1sWmK5M+A7kLhS15ZbXKCU9mScwz7RV3SyJ5KMZKdBjc6i4VN6qnxZUB3Y5NLh1xrF68IN7JXfvw3kaO80MEcHUvTcZ25/qJ+Ec9vnqS/oAolxpMBPdYc3UHpyHIxOoTeDyHeSLZU2DkHR2tix58x7j4lfkPP96a2nJbZDtF3CnZ+qx6+dgyAwCLq4X6gzd/y3H9MsPHo/uXJgD4qbAY/p5gdvWYnJxZSpvSZOapHWo4THcDNLtZhxnXFfVG6aE6Li0jHNtkoXTQHkwb7e1ZEu3gyoHdsY9x8kY4h507F8+jJswD/rbrS2rjlBiu6HEYTZ5E7eTISLLpmNC7s3xkPLt3mWBmcmqfkf756AX79lfMBAO/eOQVHTtW4plPN69z6V0zXV01EMLhbe3xHZ+Ut8gZPBvRObXNw6+cGRgT03KyM0GxudrZXBznV4CIiyNYyZgYVtsegwuZV2z+cfxlH3qXAqeuiE5NzxfLOHVOcLgKlwJMBPZ422iAGO/OzXdSEHtKrk/kl58hhLvwekXf5MqAHm0OSzY1NhFGnqJtqXOQBHvy6LL19MvLb+DJ8eJqv/0XsbFs2qqHHWpiX3M2OC3Hc76BELjKhx43fJo59cCdPZrno0VsNxU5GQ/8bGtNbFvKuJZ8cRn6bbEwcaN1Uynb787cucroIFINvAnq6GVXC6xvdWKcit8rMELww9+KYrzvVInNdceSsmz+aMQzv3DEFU4e5b9pnCvB3k4uN+zYK6A1NrKF7kVuzP53KXHr42rG4amwvXDKogNlTHuGbGnr4BPrBGvLRJNfVTIRhk0ucNlFqPawIg0O6t4//JptMHlLIYO4hvgno4V+693aWAwDW7D1h2/GMYnYjm1yIyAEpBXQReUREtovIJyLyqoh0sqhcSZSl+XF6hv6zhu43rIeS16VaQ38bwCil1BgAOwEsSL1IyQlPOUvHUHijkF0fleUyvEcHewtDljh0yvomOiu+isyCpUSlFNCVUm8ppRq0p/8GEHsxyjRKR03LqIZ+prYh4vmc0S0n1CJKFAM6JcrKNvSbAbxh4f5MSXeGgtGPbPHGQxHPO7W1b3EL8j83TdVM7hY3bVFE3gGgNyHzQqXUYu09CwE0AHjOYD9zAcwFgH79+sV6myXSEdyDP7Hi/p0N3/f9aYNww4T+9heIfKuticnmCtrnoOJMnY2lITeLG9CVUlcYvS4iNwG4EsDlyqAdQin1NICnAaC4uNjWKkenOPOlWyE4XDvexeNHM4bbXhZyLyumEzDTJ7TirqlpHzVN7pHSwCIRmQngxwCmKKXOWlOk1BVpK/h8dXxf244RvCJxIi5ykw552WAXfOuVahv64wA6AHhbRDaKyFMWlCkp4WE1eJ+Qm2XfvOjn9+2Eiwd2xf1fOK/Fa0O1gSBemp+DiLwvpRq6UmqwVQVJVfhtaTq6kPKyM/H83Im6rwUvJAtmjUhDSag1eWPeZMz6zWqni0Eu5ZuRouGCTflOzc0RzEO3cz528garvoNrF16O//rCeRjRs+W0tVOHFQIApgwttOZg5Fk+n5zLmYg+rn9nbD9She75uY4cn7ypX5e22H9CvyuqW4c8fP3iIt3X/nDTRXht00F8YWxvG0tHXuDLKmSwDd2pGvp9V52HFXdNRdf2DOiUuNsvH5LU5zIzBF+8oA8yOIlWq+fLgB7k1Nc7JysDA7RMG6JE9eqU53QRyON8E9Dzw3LPjaa2JUonM5WKiQO6ttj26QMzrCsM+Z5vAnpHbcHaL17Q3I7o1gULiPToNZm0zTHu5vrn9yfZVRzyIN90igY7QLMyhJMZkWeN7JmPy0d0w8YDldh97Izhe1//waUY1btjmkpGXuCfgC7N/w+N4mQVnRxWb3Ju/KXzJsd9T+e22Th5tj7ZIpGP+abJJXKBC22bM0UhCjl11vqJsnp1amP5PskffBPQgwTS3CnKiE4Oa+TqVZRG/gvoEl5DZ0QnZzGeUzr5JqB3apMDAOjSLie0jU3o5DQuTkHp5OmA/uwtEzCse2Cy0Nmje+Lha8Zg3hVDmudycbJwRLCnyaWqJrDEIa8VFM3TAf3SIQUoKmgLAMgQ4LqL+iI3KxMF2pD7bh049J6c1Rgj6uZlJ//TC873UnbSNUsQkEt4Pm2xed6W5vr4dcV90S43i4szk+OaYtTQf3DZEDyybAcGd2uf9L6r6xqT/iz5k6dr6EBzp1N4e3lGhuCqsb04WRE5rjHGanA3TgysM3vbtOSXFGhs4lJzFMkHNfRARM9gDyi5UE2Dfi26Y5ts7P3F7JQGv3G+fYrm+W9EsI2S321yI6NO0WSD+U0XB2r3l4/ontTnyb88X0MP/mBYQyc3qmuwvlnkZ1edhztnDEN+Xnb8N1Or4vl6bbBTNJPt5eRCNfXWd1xmZAiDOenyfEBnDZ3c7JwW0G+c2C+0rTfnYiGbeD+gs1OUXOycllo4sCD59ESiRHk+oF9U1BkA0KMjl+8i9+moraTF7yelg+c7Re+YPgzXjOvDNTzJlYJzCw0qbK6hZ3i+GkVu5fmvVmaGYGAhb2fJneobA02C/bq0DW1j8yDZxfMBnciNxg/oAgAY0j1Q2cjKbA7iDOdkF883uRC50V9vGY/dx6oxomdgNtDMsFo5l0YkuzCgE9lkZK/80OPweYUYz8kubHIhSjPGc7ILAzpRmmRr7ehsciG7MKAT2UBvPdslt0/WXiOyhyUBXUTuEhElIgVW7I/Ij4Lri7KCTnZJOaCLSF8A0wHsT704RP7VS5vD5eZJAxwuCfmVFVkuvwZwN4DFFuyLyLfy87JRumiO08UgH0uphi4iVwM4qJTalMB754pIiYiUlJeXp3JYItdjswo5IW4NXUTeAdBD56WFAH4C4POJHEgp9TSApwGguLg49jIuRD6g+A0nB8QN6EqpK/S2i8hoAAMAbNLSsPoAWC8i45VSRywtJZELXX9RX7zw8QHd1xQY0Sn9km5DV0ptBtAt+FxESgEUK6UqLCgXkevlZMVusdRLWySyG/PQiZJk1KxiFOyJ7GLZXC5KqSKr9kXkBWxWIbdhNYIoSez4JLdhQCfSmE011IvnFw/saklZiJLB6XOJNAL9IB2LXg39+bkTrSoOkWmsoRNpOAsieR0DOpHGfDhnIzq5CwM6kcZ0GzrjObkMAzpRkhjQyW0Y0Ik0Zkd3Mg+d3IYBnYjIJxjQiZI0qLC900UgisCAThRkslO0fR6HcZC7MKATacymLbJTlNyGAZ1Iw3FF5HUM6ESa9rnmmlCyMngFIHdhQCfSLL19suHrb8ybjEeuHRN6fu2FfbBg1nD85ebxOK9XPu6/+jy7i0hkSJQDDYHFxcWqpKQk7cclIvIyEVmnlCqO9Tpr6EREPsGATkTkEwzoREQ+wYBOROQTDOhERD7BgE5E5BMM6EREPsGATkTkE44MLBKRcgD7kvx4AYAKC4vjBTzn1oHn3Dqkcs79lVKFsV50JKCnQkRKjEZK+RHPuXXgObcOdp4zm1yIiHyCAZ2IyCe8GNCfdroADuA5tw4859bBtnP2XBs6ERHp82INnYiIdDCgExH5hKcCuojMFJEdIrJLROY7XR4zROSPInJMRLaEbesiIm+LyGfa/zuHvbZAO88dIjIjbPuFIrJZe+23IoGVMEUkV0Re1LavEZGitJ6gDhHpKyIrRGSbiGwVkXnadt+et4jkichaEdmknfP92nbfnnOQiGSKyAYReV177utzFpFSrawbRaRE2+bsOSulPPEfgEwAuwEMBJADYBOAkU6Xy0T5PwdgHIAtYdseBjBfezwfwC+1xyO188sFMEA770zttbUALkZgkfo3AMzStn8PwFPa4+sBvOiCc+4JYJz2uAOAndq5+fa8tfK11x5nA1gDYKKfzzns3O8A8DcAr7eS73cpgIKobY6es+NfAhN/vIsBLAt7vgDAAqfLZfIcihAZ0HcA6Kk97glgh965AVimnX9PANvDtn8VwO/C36M9zkJgJJo4fc5R578YwPTWct4A2gJYD2CC388ZQB8A7wK4DM0B3e/nXIqWAd3Rc/ZSk0tvAAfCnpdp27ysu1LqMABo/++mbY91rr21x9HbIz6jlGoAcApAV9tKbpJ2u3gBAjVWX5+31vSwEcAxAG8rpXx/zgAeA3A3gKawbX4/ZwXgLRFZJyJztW2OnnNW0qeSfqKzza85l7HO1ehv4Nq/j4i0B/AKgP9USp3Wmgh136qzzXPnrZRqBHC+iHQC8KqIjDJ4u+fPWUSuBHBMKbVORKYm8hGdbZ46Z80kpdQhEekG4G0R2W7w3rScs5dq6GUA+oY97wPgkENlscpREekJANr/j2nbY51rmfY4envEZ0QkC0BHACdsK3mCRCQbgWD+nFLqH9pm3583ACilKgGsBDAT/j7nSQCuFpFSAC8AuExEnoW/zxlKqUPa/48BeBXAeDh8zl4K6B8DGCIiA0QkB4FOgtccLlOqXgNwk/b4JgTamIPbr9d6uQcAGAJgrXYLVyUiE7We8G9EfSa4r2sBLFda45tTtDL+AcA2pdSvwl7y7XmLSKFWM4eItAFwBYDt8PE5K6UWKKX6KKWKEPhdLldK3Qgfn7OItBORDsHHAD4PYAucPmcnOxWS6ISYjUCmxG4AC50uj8myPw/gMIB6BK68tyDQHvYugM+0/3cJe/9C7Tx3QOv11rYXa1+c3QAeR/No3zwALwHYhUCv+UAXnPOlCNwifgJgo/bfbD+fN4AxADZo57wFwE+17b4956jzn4rmTlHfnjMC2XabtP+2BuOR0+fMof9ERD7hpSYXIiIywIBOROQTDOhERD7BgE5E5BMM6EREPsGATkTkEwzoREQ+8f8Bnq/Wy0lzlwoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eb3d3184",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b15b0397",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "330f5bf8",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
